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  1. On Restrictions of Ultrafilters From Generic Extensions to Ground Models.Moti Gitik & Eyal Kaplan - 2023 - Journal of Symbolic Logic 88 (1):169-190.
    Let P be a forcing notion and $G\subseteq P$ its generic subset. Suppose that we have in $V[G]$ a $\kappa{-}$ complete ultrafilter1,2W over $\kappa $. Set $U=W\cap V$.
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